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Finding the Fourth Proportional to 417,728.94, 576,765.51 and 256,799.74

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Solution

The fourth proportional to 417,728.94, 576,765.51 and 256,799.74 is: 354,567.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,728.94 : 576,765.51 = 256,799.74 : x
  2. Step 2: Convert to fraction form
    417,728.94/576,765.51 = 256,799.74/x
  3. Step 3: Cross multiply
    417,728.94x = 576,765.51 × 256,799.74
  4. Step 4: Simplify right side
    417,728.94x = 148,113,233,008.97
  5. Step 5: Solve for x
    x = 148,113,233,008.97/417,728.94
  6. Step 6: Final answer
    x = 354,567.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.